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Finding the Third Proportional to 98,897 and 153,088

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Solution

The third proportional to 98,897 and 153,088 is: 236,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,897 : 153,088 = 153,088 : x
  2. Step 2: Convert to fraction form
    98,897/153,088 = 153,088/x
  3. Step 3: Cross multiply
    98,897x = 153,088 × 153,088
  4. Step 4: Simplify right side
    98,897x = 23,435,935,744
  5. Step 5: Solve for x
    x = 23,435,935,744/98,897
  6. Step 6: Final answer
    x = 236,973.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.